On formal deformations and degenerations of evolution algebras

Published 7 Dec 2025 in math.RA | (2512.07002v1)

Abstract: The main purpose of this paper is to study formal deformations of evolution algebras, determining their existence and classifying them up to equivalence. In addition, we examine degenerations in this setting and provide Hasse diagrams that describe the degeneration relations among nilpotent evolution algebras of dimensions up to four.

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